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We study the dynamics of a quantum or classical particle in a two-dimensionalrotating anisotropic harmonic potential. By a sequence of symplectictransformations for constant rotation velocity we find uncoupled normalgeneralized coordinates and conjugate momenta in which the Hamiltonian takesthe form of two independent harmonic oscillators. The decomposition intonormal-mode dynamics enables us to design fast trap-rotation processes toproduce a rotated version of an arbitrary initial state, when the two normalfrequencies are commensurate.

Fast state and trap rotation of a particle in an anisotropic potential